Practice question

**Sinusoidal wave form** represents harmonic wave where each particle executes SHM. Coefficients of x and t give spatial and temporal periodicities, allowing wavelength and period extraction, basis for wave analysis in NCERT. Speed: v = √((B/rho)) . 1700 = √((2.89 × 10⁹/rho)) ⇒ 1700² = (2.89 × 10⁹/rho) . rho = (2.89 × 10⁹/1700²) = (2.89 × 10⁹/2.89 × 10⁶) = 1000 kg/m³ . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 1000 kg/m³, illustrating frequency-length-speed interdependence and quantization by boundaries.